Find the value of x. Round measures to the nearest tenth (one decimal place).

Answer:
x ≈ 12.1
Step-by-step explanation:
using the cosine ratio in the right triangle
cos34° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )
x × cos34° = 10 ( divide both sides by cos34° )
x = [tex]\frac{10}{cos34}[/tex] ≈ 12.1 ( to the nearest tenth )